Variable selection for a multiple regression model (Noisy Linear Perceptron) is studied with a mean field approximation. In our Bayesian framework, variable selection is formulated as estimation of discrete parameters that indicate a subset of the explanatory variables. Then, a mean field approximation is introduced for the calculation of the posterior averages over the discrete parameters. An ...

Data ......................................................................................................................483 Response and Explanatory Variables ..........................................................483 Weights ............................................................................................................484 Missing Data ...........................................

An ordinary least squares (OLS) analysis of the relationship between chlorophyll a (chl a) concentrations and photosynthetic rates at depths of 5 and 25 m at Station ALOHA produced a slope that was only 28% of the mean productivity index at those depths and an intercept at zero chl a that equaled 70% of the mean photosynthetic rate. OLS regression lines are known to produce a slope and intercep...

Health services and health economics research articles commonly use multivariate regression techniques to measure the relationship of health service utilization and health outcomes (the outcomes of interest) with clinical characteristics, sociodemographic factors, and policy changes (usually treated as explanatory variables). Common regression methods measure differences in outcome variables be...

In panel data, individuals (persons, firms, cities, ... ) are observed at several points in time (days, years, before and after treatment, ...). This handout focuses on panels with relatively few time periods (small T ) and many individuals (large N). This handout introduces the two basic models for the analysis of panel data, the fixed effects model and the random effects model, and presents c...

Traditional cognitive vulnerability-stress models regarding the etiology of depression emphasize the content of the depressed individual's thoughts. One important cognitive content index, explanatory style, represents the habitual way that individuals assign causes to events that occur in their lives. A more contemporary model, however, emphasizes the cognitive process by which these attributio...